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Sender: owner-fluka-discuss_at_mi.infn.it
Dear FLUKA experts,
This is a gentle reminder of the query that I asked before. It will be
helpful
for me if you kindly respond my quires. Also, wish you all a happy new year.
1. In FLUKA, suppose, no of histories (N) = 1E+5. The spawn value = 10 =
and no of cycles = 5.
So, when spawn = 1, cycle = 1, these 1E+5 no of histories will not be
simulated together. Rather, it will be divided into X no of batches with
N/X
histories. For each batch, we will get a mean value of our estimator. So,
for X no of batches, we will get X no of means which if we plot, we will
get a sampling distribution of sample (or batch) means. Is my concept
correct?
If it is correct, then we can call this X as sample size. Now, since, in
FLUKA input, we are giving only total no history, not the batch size, what
does FLUKA decide as batch size? Is there any predefined parameter
assigned for batch size? For central limit theorem to be valid, the sample
size should be greater than 30 so that whatever be the population
distribution, the sampling
distribution of sample means will always be a normal distribution.
2. For each sampling distribution of sample (or batch) means, the central
limit
theorem is valid. Also, each distribution has their own mean ( )(mean of
sampling distribution of sample means) and standard deviation ( ) (SD of
sampling distribution of sample means).
Each SD satisfy the relation where x = a random variable of our estimator,
X = no of batches (or sample size), sigma = SD of population distribution.
Now for spawn = 1, generally we give 5 cycles. So we will get 5 and 5 .
Then what is the method to get the final SD of our estimator?
For spawns > 1, many such and will be generated. How can we merge those
results to get a single value of and for our estimator?
I have also attached the word file for my queries (Since some equations are=
not visible). Please find attached.
Thanks and Regards
Jyoti
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------=_Part_19801211_771108197.1577850559891--
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Received on Wed Jan 01 2020 - 15:10:11 CET